SOLUTION: 1 How many ways may 4cards be drawn randomnly from a deck of 52 cards? 2.How many ways may 5 students be elected from a club with 45 memebers? 3. How many ways may 5 students be

Question 1180029: 1 How many ways may 4cards be drawn randomnly from a deck of 52 cards?
2.How many ways may 5 students be elected from a club with 45 memebers?
3. How many ways may 5 students be seated in a row of 5 chairs fior a pictorial?
4 Hoq many ways can 4 officers in Grade 8 class be elected mong 23 students?
Thank you in advance 😊
Answer by ikleyn(52824) (Show Source): You can put this solution on YOUR website!
.


(1)  In   = 316251  ways.   Combinations.  The order does not matter.

(2)  In   = 1221759  ways.   Combinations.  The order does not matter.


(3)  In 5! = 5*4*3*2*1 = 120  ways.   Permutations.  The order does matter.


(4)  In   = 8855  ways.   Combinations.  The order does not matter.

Solved. All questions are answered.

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On Combinations and Permutations, see the lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Simple and simplest problems on permutations
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - OVERVIEW of lessons on Permutations and Combinations
in this site.   //   I listed here the "introductory" lessons only . . .

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Combinatorics: Combinations and permutations".

Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.

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